Using the binomial probability relation ; the probability that an head is obtained at least 50 times is 0.0271
<u>Using the binomial probability relation</u> :
- P(x = x) = nCx * p^x * q^(n-x)
- p = probability of success = 0.4
- q = 1 - p = 0.6
- n = number of trials = 100
P(x ≥ 50) = p(x = 50) + p(x = 51) + ...+ p(x = 100)
<u>Using a binomial probability calculator</u> :
P(x ≥ 100) = 0.0271
Therefore, the probability that atleast 50 heads are obtained in the trial is 0.0271
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Answer:
7%, 0.28, 0.15, 13%, 21/100, 14/25
Step-by-step explanation:
Hope this is right :)
Answer:
150.72
Step-by-step explanation:
To find the surface area, use the provided formula and the values r = 2 and h = 10. The radius of the object is 2 since it is half the distance across the circle which measures 4 inches across through the center.
SA = 2πr² + 2πrh
SA = 2π2² + 2π(2)(10)
SA = 2π*4 + 2π(20)
SA = 8π + 40π
SA = 48π
SA = 48(3.14)
SA = 150.72
Answer:
y=70 degrees
Step-by-step explanation:
If 2 angles are complimentary, they add up to 90 degrees.
x+y=90 degrees
x=20 degrees
y=90-20 degrees
y=70 degrees
If that is wrong, try this. Let's say the questions gives us the fact that x is 20 degrees greater than y.
y=x
Substituting x for y, the equation is x+x+20=90
Since y is x, x would also be y, which is 35. then x+20 would be 55.
So y would be 35.
THE ANSWER WOULD BE <u><em>70 DEGREES</em></u>, BUT IF THAT IS WRONG, DO THE SECOND ONE, WHICH IS 35
Answer: a) 92 yards, b) 29.29 yards and 672.99 sq. yd.
Step-by-step explanation:
Since we have given that
Area of square pen = 529 sq. yd
Let the length of each side be 'a'.
As we know the formula for "Area":
So, the perimeter of the square pen is given by
So, perimeter of square pen = Perimeter of round pen
So, the diameter of round pen is 
And the area of round pen is
Hence, a) 92 yards, b) 29.29 yards and 672.99 sq. yd.
